Fast Nonnegative Tensor Factorizations with Tensor Train Model

被引：1
|
作者：
Shcherbakova, E. M. [1 ]
Tyrtyshnikov, E. E. [2 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow 119991, Russia
[2] Russian Acad Sci, Marchuk Inst Numer Math, Moscow 119333, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 04期
关键词：
nonnegative tensor factorization; tensor train; Tucker decomposition; canonical decomposition; DECOMPOSITIONS;
D O I：
10.1134/S1995080222070228
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Tensor train model is a low-rank approximation for multidimensional data. In this article we demonstrate how it can be succesfully used for fast computation of nonnegative tensor train, nonnegative canonical and nonnegative Tucker factorizations. The proposed approaches can be incorporated in wide range of methods to solve big data problems.
引用
收藏
页码：882 / 894
页数：13
相关论文
共 50 条
  • [1] Fast Nonnegative Tensor Factorizations with Tensor Train Model
    E. M. Shcherbakova
    E. E. Tyrtyshnikov
    [J]. Lobachevskii Journal of Mathematics, 2022, 43 : 882 - 894
  • [2] Nonnegative Tensor Train Factorizations and Some Applications
    Shcherbakova, Elena
    Tyrtyshnikov, Eugene
    [J]. LARGE-SCALE SCIENTIFIC COMPUTING (LSSC 2019), 2020, 11958 : 156 - 164
  • [3] Fast Local Algorithms for Large Scale Nonnegative Matrix and Tensor Factorizations
    Cichocki, Andrzej
    Phan, Anh-Huy
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2009, E92A (03) : 708 - 721
  • [4] Nonnegative Matrix and Tensor Factorizations [An algorithmic perspective]
    Zhou, Guoxu
    Cichocki, Andrzej
    Zhao, Qibin
    Xie, Shengli
    [J]. IEEE SIGNAL PROCESSING MAGAZINE, 2014, 31 (03) : 54 - 65
  • [5] Nonnegative tensor factorizations using an alternating direction method
    Cai, Xingju
    Chen, Yannan
    Han, Deren
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (01) : 3 - 18
  • [6] Nonnegative tensor factorizations using an alternating direction method
    Xingju Cai
    Yannan Chen
    Deren Han
    [J]. Frontiers of Mathematics in China, 2013, 8 : 3 - 18
  • [7] Nonnegative Tensor Train Factorization with DMRG Technique
    E. M. Shcherbakova
    [J]. Lobachevskii Journal of Mathematics, 2019, 40 : 1863 - 1872
  • [8] Nonnegative tensor train for the multicomponent Smoluchowski equation
    Matveev, Segey
    Tretyak, Ilya
    [J]. Computational and Applied Mathematics, 2025, 44 (01)
  • [9] Nonnegative Tensor Train Factorization with DMRG Technique
    Shcherbakova, E. M.
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (11) : 1863 - 1872
  • [10] Multiplicative Algorithms for Symmetric Nonnegative Tensor Factorizations and Its Applications
    Che, Maolin
    Wei, Yimin
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2020, 83 (03)
12345